There is always a chance for the solitary pulses to get damped due to dissipation in the plasma medium gradually. Apart from the existence of the collision between different plasma components [1]}, [2]}, [3]}, the ion-acoustic solitary structures can also get dissipated if the ions no longer remain cold instead become hot enough compared to that of the electron species, i.e., due to the ion temperature effect [4]}, [5]}, [6]}, [7]}. As most of the practical systems around us are not in equilibrium, almost every wave has to suffer a certain amount (more or less) of dissipation. This influenced the researchers to study solitary wave's attenuation in various plasma mediums [8]}, [9]}, [10]}, [11]} and nonlinear optics [12]}, [13]}, [14]}, [15]}. Mamun [4]} in 1997 considered a plasma medium containing no dust and studied the effect of ion temperature on electrostatic solitary structures in unmagnetized collisionless non-thermal plasmas. Later, Chatterjee et al. [5]} carried out a similar investigation to determine ion temperature's effect on the solitary structures in a quantum electron-ion plasma. Roy et al. [6]} also conducted a research work analogous to Mamun in which he assumed a plasma consisting of a q-nonextensive electron species. Sing [19]} extended the work of Chatterjee by considering the influence of the magnetic field. Sultana [20]} took a huge step to consider the magnetic field effect and included dust in her system, but she did not take the effect of hot ion fluid into account in her investigation. This motivated us to observe the origin, evaluation, streaming, and the fundamental properties of nonlinear solitary excitations in a plasma medium comprised of negatively charged dust, hot ion fluid colliding with neutral particles, and super-thermal electrons in the presence of an external magnetic field. The investigation of such a plasma system will enable us to analyze and understand the nonlinear structure's behavior in a magnetized complex dusty plasma in which the ion temperature effect and the energy dissipation effect are considered at the same time.
